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Finding the Fourth Proportional to 290,307,882.80, 435,461,824.20 and 145,189,060.40

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Solution

The fourth proportional to 290,307,882.80, 435,461,824.20 and 145,189,060.40 is: 217,783,590.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,307,882.80 : 435,461,824.20 = 145,189,060.40 : x
  2. Step 2: Convert to fraction form
    290,307,882.80/435,461,824.20 = 145,189,060.40/x
  3. Step 3: Cross multiply
    290,307,882.80x = 435,461,824.20 × 145,189,060.40
  4. Step 4: Simplify right side
    290,307,882.80x = 63,224,293,095,667,984
  5. Step 5: Solve for x
    x = 63,224,293,095,667,984/290,307,882.80
  6. Step 6: Final answer
    x = 217,783,590.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.